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If the sum of radius and height of a solid cylinder is 20 cm and its total surface area is 880 cm.2 then its volume is
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- 1760 cm.³
- 8800 cm.³
- 2002 cm.³
- 4804 cm.³
- 1760 cm.³
Correct Option: C
According to the question, r + h = 20 cm.
Total surface area of cylinder = 2πrh + 2πr² = 2πr (h + r)
∴ 2πr × 20 = 880
| ⇒ πr = | = 22 | |
| 40 |
| ⇒ | × r = 22 | |
| 7 |
| ⇒ r = | = 7 cm. | |
| 22 |
∴ r + h = 20
⇒ h = 20 – 7 = 13 cm.
∴ Volume of cylinder = πr²h
| = | × 7 × 7 × 13 = 2002 cu. cm. | |
| 7 |
